Writing Exponential Functions
For the following three exponential functions, identify the initial value (a), calculate the base (b), and then write the equation for the function in f(x)=abx\displaystyle {f{{\left({x}\right)}}}={a}{b}^{{x}} form.

Note: Round your answers to two decimal places as needed.
FunctionBaseInitial ValueEquation
x01234
f(x)50403225.620.48
f(x)=\displaystyle {f{{\left({x}\right)}}}=
 
g(x)={(0,45),(1,49.5),(2,54.45),(3,59.9)}\displaystyle {g{{\left({x}\right)}}}={\left\lbrace{\left({0},{45}\right)},{\left({1},{49.5}\right)},{\left({2},{54.45}\right)},{\left({3},{59.9}\right)}\right\rbrace}g(x)=\displaystyle {g{{\left({x}\right)}}}=
 
h(x)\displaystyle {h}{\left({x}\right)}

5-551015xy
h(x)=\displaystyle {h}{\left({x}\right)}=